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Finding the Fourth Proportional to 15,509.42, 21,402.93 and 8,435.85

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Solution

The fourth proportional to 15,509.42, 21,402.93 and 8,435.85 is: 11,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.42 : 21,402.93 = 8,435.85 : x
  2. Step 2: Convert to fraction form
    15,509.42/21,402.93 = 8,435.85/x
  3. Step 3: Cross multiply
    15,509.42x = 21,402.93 × 8,435.85
  4. Step 4: Simplify right side
    15,509.42x = 180,551,907.04
  5. Step 5: Solve for x
    x = 180,551,907.04/15,509.42
  6. Step 6: Final answer
    x = 11,641.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.